Analysis of positive linear continuous-time systems using the conformable derivative

Kaczorek, T.

International Journal of Applied Mathematics and Computer Science, Tome 28 (2018) no. 2, pp. 335-340.

Résumé

Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established. Necessary and sufficient conditions for the asymptotic stability of positive linear systems are also given. The solutions of positive fractional linear systems based on the Caputo and conformable definitions are compared.

Détail

Keywords: conformable fractional derivative, positive linear system, system stability
Mots-clés : pochodna ułamkowa, układ liniowy dodatni, stabilność systemu

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